Geodesic
More About Petrović's Inequality on Coordinates via $m$-Convex Functions and Related Results
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 335 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper the authors extend Petrović's inequality for coordinated $m$-convex functions in the plane and also find Lagrange type and Cauchy type mean value theorems for Petrović's inequality for $m$-convex functions and coordinated $m$-convex functions. The authors consider functional due to Petrović's inequality in plane and discuss its properties for certain class of coordinated log-$m$-convex functions.
Classification : 26A51, 26D15, 35B05
Keywords: Petrović's inequality, mean value theorem, log-convexity, $m$-convex functions on coordinates 
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Atiq Ur Rehman; Ghulam Farid; Wasim Iqbal. More About Petrović's Inequality on Coordinates via $m$-Convex Functions and Related Results. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 335 . http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a0/